A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit? Insert an image of a graph showing the feasible region.
A company makes two types of electronic devices: laptops and tablets. Its business plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per day. The total number of devices it must make per day according to the plan ranges from 150 to 220. Given that x is the number of laptops made per day, and y is the number of tablets made, what are the daily constraints that the plan places on the company? The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit? Insert an image of a graph showing the feasible region.
Chapter7: Systems Of Equations And Inequalities
Section7.3: Systems Of Nonlinear Equations And Inequalities: Two Variables
Problem 3SE: When you graph a system of inequalities, will there always be a feasible region? If so, explain why....
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Question
Transcribed Image Text:A company makes two types of electronic devices: laptops and tablets. Its business
plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets, per
day. The total number of devices it must make per day according to the plan ranges
from 150 to 220. Given that x is the number of laptops made per day, and y is the
number of tablets made, what are the daily constraints that the plan places on the
company?
The company sells all the electronic devices it makes. Its profit is $65 for every laptop
sold and $45 for every tablet sold. What is the objective function for maximizing profit?
Insert an image of a graph showing the feasible region.
Transcribed Image Text:What are the vertices of the feasible region?
Evaluate the objective function at the vertices of the feasible region.
How many laptops and how many tablets should the company make to maximize
profit?
What is the maximum profit?
Expert Solution
Introduction
This is a linear programing problem. We will solve this by graphical method.
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